CONCEPT
The Verification Trilemma
The 2026 formal result that no verification procedure can simultaneously satisfy soundness, generality, and tractability — a mathematical ceiling on Dijkstra's program of provable correctness.
The verification trilemma is an impossibility result published in 2026 — "On the Formal Limits of Alignment Verification," circulated through the Alignment Forum — which proves that no verification procedure can simultaneously satisfy three properties: soundness (no incorrect system is certified as correct), generality (verification holds over all possible inputs), and tractability (verification completes in reasonable time). Any two are achievable; all three together are not. This is a formal impossibility, not a practical difficulty that better technology might overcome. It establishes a mathematical ceiling on Dijkstra's program of provable correctness for systems of sufficient complexity, and it applies with particular force to AI systems whose behavior depends on effectively infinite input spaces.
In The You On AI Field Guide
The result is a distant descendant of the classical impossibility results in computability theory — Turing's halting problem, Rice's theorem — and is in the same family as the no-free-lunch theorems in learning theory. Its novelty is its direct applicability to the verification of